On the development of a numerical model for the simulation of air flow in the human airways

0579477 - MÚ 2024 RIV CZ eng C - Conference Paper (international conference)
Lancmanová, Anna - Bodnár, Tomáš - Sequeira, A.
On the development of a numerical model for the simulation of air flow in the human airways.
Topical Problems of Fluid Mechanics 2023. Praha: Ústav termomechaniky AV ČR, v. v. i., 2023 - (Šimurda, D.; Bodnár, T.), s. 112-118. ISBN 978-80-87012-83-3. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2023. Prague (CZ), 22.02.2023-24.02.2023]
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : reduced order model * incompressible Navier-Stokes equations * finite difference approximation * coupling method
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2023.016

This contribution reports on an ongoing study focusing on reduced order models for incompressible viscous fluid flow in two dimensional channels. A finite difference solver was developed using a simple implementation of the immersed boundary method to represent the channel geometry. The solver was validated for unsteady flow by comparing the obtained two-dimensional numerical solutions with analytical profiles computed from the Womersley solution. Finally the 2D model was coupled to a simple 1D extension simulating the flow in axisymmetric elastic vessel (tube). Some of the coupling principles and implementation issues are discussed in detail.
Permanent Link: https://hdl.handle.net/11104/0348313